What is the Least Common Multiple of 5840 and 5850?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 5840 and 5850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5840 and 5850, than apply into the LCM equation.

GCF(5840,5850) = 10
LCM(5840,5850) = ( 5840 × 5850) / 10
LCM(5840,5850) = 34164000 / 10
LCM(5840,5850) = 3416400

Least Common Multiple (LCM) of 5840 and 5850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5840 and 5850. First we will calculate the prime factors of 5840 and 5850.

Prime Factorization of 5840

Prime Factorization of 5850

Now multiplying the highest exponent prime factors to calculate the LCM of 5840 and 5850.

LCM(5840,5850) = 2⁴ × 5² × 73¹ × 3² × 13¹
LCM(5840,5850) = 3416400